Bob wins when n ≡ 1, 3, or 4 (mod 5); there are 1215 such n ≤ 2024 giving Bob a forced winning strategy.
combinatorial game theory
winning and losing positions
token removal game
modulo pattern analysis
Bob wins when n ≡ 1, 3, or 4 (mod 5); count of such n ≤ 2024 is **1215**.
Cost
$0
Input
0tokens
Output
0tokens
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